On the well-posedness of Banach spaces-based mixed formulations for the nearly incompressible Navier-Lamé and Stokes equations

DOI10.1016/j.camwa.2021.10.004OpenAlexW3206066179MaRDI QIDQ2239103

Cristian Inzunza, Gabriel N. Gatica

Publication date: 2 November 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2021.10.004

zbMATH Keywords

Sobolev spaceslinear elasticityLebesgue spacesmixed formulationStokesinf-sup conditions

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (5)

A pseudostress-based mixed-primal finite element method for stress-assisted diffusion problems in Banach spaces ⋮ New mixed finite element methods for the coupled Stokes and Poisson–Nernst–Planck equations in Banach spaces ⋮ New mixed finite element methods for the coupled convective Brinkman-Forchheimer and double-diffusion equations ⋮ New Banach spaces-based fully-mixed finite element methods for pseudostress-assisted diffusion problems ⋮ A Banach spaces-based fully-mixed finite element method for the stationary chemotaxis-Navier-Stokes problem

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